The interval $[-3, 3)$ in set-builder notation is expressed as:

$\{ x \mid -3 \leq x < 3 \}$

This represents the set of all real numbers $x$ such that $x$ is greater than or equal to $-3$ and strictly less than $3$.

Graphing on a Number Line:

• A closed dot is used at $x = -3$ to indicate that $-3$ is included in the interval.
• An open dot is used at $x = 3$ to indicate that $3$ is not included in the interval.
• The segment between $-3$ and $3$ is shaded to show all numbers between them.

Would you like me to provide more details or answer any questions? Here are five related questions:

1. How do you express an open interval $(a, b)$ in set-builder notation?
2. What is the difference between a closed and open interval?
3. How would the graph of $(-3, 3]$ differ from this interval?
4. How do we represent the union of two intervals on a number line?
5. Can intervals include infinity, and how would that affect set-builder notation?

Tip: Remember, square brackets $[ ]$ mean the endpoint is included, while parentheses $( )$ mean the endpoint is excluded.